messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 7% of 809?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 809 = (7/100) × 809 = 56.63.\n</reasoning>\nFinal Answer: 56.63"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 47) * (50 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+47)=54, (50-49)=1, then 54×1=54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 84 = 3234.0.\n</reasoning>\nFinal Answer: 3234.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 41 = 779.\n</reasoning>\nFinal Answer: 779"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 19 * 5 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×5=95, then 38+95-44=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 32 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 32 × (1 + 30/100) = 32 × 1.3 = 41.6.\n</reasoning>\nFinal Answer: 41.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 371 + -740"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 371 and -740: 371 + -740 = -369.\n</reasoning>\nFinal Answer: -369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 204 km apart. Their speeds are 88 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+41=129 km/h. Time = 204/129 = 1.5814 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 26, 12, 25, 75, 42, 92, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 12 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -48 = 96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 8x = 144. Divide by 8: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -485 + -69"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -485 and -69: -485 + -69 = -554.\n</reasoning>\nFinal Answer: -554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 991 - -831"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -831 from 991: 991 - -831 = 1822.\n</reasoning>\nFinal Answer: 1822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18015 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18015 × 20 × 9 / 100 = 32427.0.\n</reasoning>\nFinal Answer: 32427.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 3% of 777?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 777 = (3/100) × 777 = 23.31.\n</reasoning>\nFinal Answer: 23.31"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 103 km/h. How far does it travel in 2 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 28/60 = 2.4667 hours. Distance = speed × time = 103 × 2.4667 = 254.0667 km.\n</reasoning>\nFinal Answer: 254.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 47 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 18+2209-37=2190.\n</reasoning>\nFinal Answer: 2190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 + 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/17 + 9/13. Common denominator = 221. Result = 335/221.\n</reasoning>\nFinal Answer: 335/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 987 + 230"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 987 and 230: 987 + 230 = 1217.\n</reasoning>\nFinal Answer: 1217"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 44 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -332 mod -107"
},
{
"role": "assistant",
"content": "<reasoning>\n-332 mod -107: -332 = -107 × 3 + -11, so remainder = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (13)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 13² - 4×1×36 = 25. √discriminant = 5. x = (-(13) ± 5) / (2×1). Solutions: x = -9 or x = -4.\n</reasoning>\nFinal Answer: x = -9 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -110 - 927"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 927 from -110: -110 - 927 = -1037.\n</reasoning>\nFinal Answer: -1037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 21 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 6x = 48. Divide by 6: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 239 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 239 × (1 + 25/100) = 239 × 1.25 = 298.75.\n</reasoning>\nFinal Answer: 298.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 604 ÷ 977"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 604 by 977. 604 ÷ 977 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 5 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+5) × 9 = 139.5.\n</reasoning>\nFinal Answer: 139.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:24 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/24, so B = A × (24/28) = 68 × 24/28 = 58.2857.\n</reasoning>\nFinal Answer: 58.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 7 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 46+49-27=68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -24 + -493"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -24 and -493: -24 + -493 = -517.\n</reasoning>\nFinal Answer: -517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 808 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 808 × (1 + 12/100) = 808 × 1.12 = 904.96.\n</reasoning>\nFinal Answer: 904.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 87, 51, 75, 75, 16, 35, 71, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 87: 1, 51: 1, 75: 2, 16: 1, 35: 1, 71: 1, 45: 1}. Most frequent: 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 9, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (45-1)×9 = 25 + 396 = 421.\n</reasoning>\nFinal Answer: 421"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 + 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/4 + 3/2. Common denominator = 2. Result = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 5, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (49-1)×5 = 21 + 240 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 97, 88, 16, 50, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 362/6 = 60.3333.\n</reasoning>\nFinal Answer: 60.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 10 + 26 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×10=460 and 26×45=1170, then add: 1630.\n</reasoning>\nFinal Answer: 1630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 9, 15, 18] and B = [1, 3, 5, 10, 11, 12, 13, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1].\n</reasoning>\nFinal Answer: [1]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 335 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 335 × (1 + 80/100) = 335 × 1.8 = 603.0.\n</reasoning>\nFinal Answer: 603.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 84 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(84,84) = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 50, 38, 4, 76, 36, 5, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 50: 1, 38: 1, 4: 1, 76: 1, 36: 1, 5: 1, 16: 1}. Most frequent: [18, 50, 38, 4, 76, 36, 5, 16].\n</reasoning>\nFinal Answer: [18, 50, 38, 4... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 8, 11, 15] and B = [2, 3, 8, 9, 12, 16, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 6, 8, 9, 11, 12, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [2,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 - 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/2 - 7/10. LCD = 10. Result = 19/5.\n</reasoning>\nFinal Answer: 19/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 708 × -601"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 708 by -601: 708 × -601 = -425508.\n</reasoning>\nFinal Answer: -425508"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 20 = 940.0.\n</reasoning>\nFinal Answer: 940.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 - 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/2 - 13/19. LCD = 38. Result = 107/38.\n</reasoning>\nFinal Answer: 107/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+9) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 16. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 16 ≈ 100.531.\n</reasoning>\nFinal Answer: 100.531"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:19 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/19, so B = A × (19/43) = 24 × 19/43 = 10.6047.\n</reasoning>\nFinal Answer: 10.6047"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -757 × 847"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -757 by 847: -757 × 847 = -641179.\n</reasoning>\nFinal Answer: -641179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/8 + 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/8 + 11/13. Common denominator = 26. Result = 87/26.\n</reasoning>\nFinal Answer: 87/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 89 = 7120.\n</reasoning>\nFinal Answer: 7120"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "162 is what percentage of 177?"
},
{
"role": "assistant",
"content": "<reasoning>\n(162/177) × 100 = 91.5254%.\n</reasoning>\nFinal Answer: 91.5254%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 218 + -347"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 218 and -347: 218 + -347 = -129.\n</reasoning>\nFinal Answer: -129"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31878 at 6% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31878 × 6 × 2 / 100 = 3825.36.\n</reasoning>\nFinal Answer: 3825.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 44 = -450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 13x = -494. Divide by 13: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:35 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/35, so B = A × (35/29) = 69 × 35/29 = 83.2759.\n</reasoning>\nFinal Answer: 83.2759"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 45 = -390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 29x = -435. Divide by 29: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 781 × -545"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 781 by -545: 781 × -545 = -425645.\n</reasoning>\nFinal Answer: -425645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 838 ÷ 416"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 838 by 416. 838 ÷ 416 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 4 + 41 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×4=48 and 41×44=1804, then add: 1852.\n</reasoning>\nFinal Answer: 1852"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:28 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/28, so B = A × (28/8) = 38 × 28/8 = 133.0.\n</reasoning>\nFinal Answer: 133.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -20 = -279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 7x = -259. Divide by 7: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 10 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+10) × 5 = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-2)x + (-180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×2×-180 = 1444. √discriminant = 38. x = (-(-2) ± 38) / (2×2). Solutions: x = -9 or x = 10.\n</reasoning>\nFinal Answer: x = -9 or x = 1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 161 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 161 × (1 - 45/100) = 161 × 0.55 = 88.55.\n</reasoning>\nFinal Answer: 88.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 12, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (35-1)×12 = 41 + 408 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 28 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 28 = 420 worker-days. New time = 420 / 11 = 38.1818 days.\n</reasoning>\nFinal Answer: 38.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 37 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 37 + 146 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -707 ÷ -51"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -707 by -51. -707 ÷ -51 = 13 (integer division).\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 112 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 112 + 89 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 93, 83, 4, 24, 68, 83, 96, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 4 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 749 + -990"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 749 and -990: 749 + -990 = -241.\n</reasoning>\nFinal Answer: -241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 48 = 48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 4x = 0. Divide by 4: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 7 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 13+49-27=35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 7% of 516?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 516 = (7/100) × 516 = 36.12.\n</reasoning>\nFinal Answer: 36.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 2, 68, 75, 27, 35, 43, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 2: 1, 68: 1, 75: 1, 27: 1, 35: 1, 43: 1, 83: 1}. Most frequent: [32, 2, 68, 75, 27, 35, 43, 83].\n</reasoning>\nFinal Answer: [32, 2, 68,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 34, 32, 18, 37, 60, 45, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 34: 1, 32: 1, 18: 1, 37: 1, 60: 1, 45: 1, 6: 1}. Most frequent: [89, 34, 32, 18, 37, 60, 45, 6].\n</reasoning>\nFinal Answer: [89, 34, 32... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+41) = 2×137 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 24 * 27 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×27=648, then 23+648-23=648.\n</reasoning>\nFinal Answer: 648"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 12, 16, 18, 19] and B = [1, 7, 10, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [8, 10, 12, 14, 15, 16, 18, 19].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 943 + -433"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 943 and -433: 943 + -433 = 510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 331 mod -586"
},
{
"role": "assistant",
"content": "<reasoning>\n331 mod -586: 331 = -586 × -1 + -255, so remainder = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 27 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 1x = 43. Divide by 1: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 69 ÷ -794"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 69 by -794. 69 ÷ -794 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 3 + 35 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×3=90 and 35×19=665, then add: 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 28 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 50+784-31=803.\n</reasoning>\nFinal Answer: 803"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -230 mod -683"
},
{
"role": "assistant",
"content": "<reasoning>\n-230 mod -683: -230 = -683 × 0 + -230, so remainder = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 5, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (38-1)×5 = 19 + 185 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 183 and 69."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(183,69) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 62, 52, 38, 57, 13, 6, 73, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 62: 1, 52: 1, 38: 1, 57: 1, 13: 1, 6: 1, 73: 1, 26: 1}. Most frequent: [53, 62, 52, 38, 57, 13, 6, 73, 26].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 948 mod -418"
},
{
"role": "assistant",
"content": "<reasoning>\n948 mod -418: 948 = -418 × -3 + -306, so remainder = -306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×28)/7 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -829 - 546"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 546 from -829: -829 - 546 = -1375.\n</reasoning>\nFinal Answer: -1375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 888 km apart. Their speeds are 60 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+98=158 km/h. Time = 888/158 = 5.6203 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 * 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/6) × (17/14) = (68/84) = 17/21 after simplification.\n</reasoning>\nFinal Answer: 17/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 / 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/20) ÷ (18/4) = (12/20) × (4/18) = 2/15.\n</reasoning>\nFinal Answer: 2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 964 × -317"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 964 by -317: 964 × -317 = -305588.\n</reasoning>\nFinal Answer: -305588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "33 is what percentage of 705?"
},
{
"role": "assistant",
"content": "<reasoning>\n(33/705) × 100 = 4.6809%.\n</reasoning>\nFinal Answer: 4.6809%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 5 = -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 15x = -75. Divide by 15: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 598 km apart. Their speeds are 83 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+65=148 km/h. Time = 598/148 = 4.0405 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
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